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Finding the Fourth Proportional to 951.99, 1,427.73 and 302.57

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Solution

The fourth proportional to 951.99, 1,427.73 and 302.57 is: 453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.99 : 1,427.73 = 302.57 : x
  2. Step 2: Convert to fraction form
    951.99/1,427.73 = 302.57/x
  3. Step 3: Cross multiply
    951.99x = 1,427.73 × 302.57
  4. Step 4: Simplify right side
    951.99x = 431,981.13
  5. Step 5: Solve for x
    x = 431,981.13/951.99
  6. Step 6: Final answer
    x = 453.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.